REVIEW 4 cited by
Integrable deformations of T-dual $\sigma$ models
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
We present a method to deform (generically non-abelian) T duals of two-dimensional $\sigma$ models, which preserves classical integrability. The deformed models are identified by a linear operator $\omega$ on the dualised subalgebra, which satisfies the 2-cocycle condition. We prove that the so-called homogeneous Yang-Baxter deformations are equivalent, via a field redefinition, to our deformed models when $\omega$ is invertible. We explain the details for deformations of T duals of Principal Chiral Models, and present the corresponding generalisation to the case of supercoset models.
Forward citations
Cited by 4 Pith papers
-
Double-Current Deformations of Two-Dimensional QFTs with Anomalies
Extends double-current deformations to anomalous 2D QFTs via dynamical gauge and Stueckelberg couplings, producing an anomaly-preserving holonomy integral kernel that Gaussian-transforms the compact boson partition function.
-
The classical Yangian symmetry of Auxiliary Field Sigma Models
Generalizes the BIZZ recursive procedure and provides sufficient conditions under which auxiliary field deformations of integrable sigma models retain classical Yangian symmetry and Maillet bracket structure.
-
Integrable deformations of dimensionally reduced gravity
Auxiliary field and Yang-Baxter deformations of D=2 dimensionally reduced gravity are shown to admit flat Lax representations, with the auxiliary field case preserving the Hamiltonian integrability structure.
-
Eight-dimensional Manin triples, Yang-Baxter deformations and solutions of Supergravity Equations
Poisson-Lie T-plurality on decompositions of Drinfeld doubles from Manin triples yields curved backgrounds with torsion solving generalized supergravity equations, many interpretable as homogeneous Yang-Baxter deformations.
Discussion (0). Continue with ORCID to comment.